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Finding the Third Proportional to 241,559,521,324 and 360,244,506,314

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Solution

The third proportional to 241,559,521,324 and 360,244,506,314 is: 537,242,761,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,559,521,324 : 360,244,506,314 = 360,244,506,314 : x
  2. Step 2: Convert to fraction form
    241,559,521,324/360,244,506,314 = 360,244,506,314/x
  3. Step 3: Cross multiply
    241,559,521,324x = 360,244,506,314 × 360,244,506,314
  4. Step 4: Simplify right side
    241,559,521,324x = 129,776,104,329,417,592,930,304
  5. Step 5: Solve for x
    x = 129,776,104,329,417,592,930,304/241,559,521,324
  6. Step 6: Final answer
    x = 537,242,761,610.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.